Is it possible to execute copy/paste operations using Blender interface?
Blender can't copy and/or move files.

One way of doing it though is to open the files as a image sequence using the video sequence editor.

Press Add->Image



Select all the images of your Render and add them to the editor.

You can press "b" for box select to make it easier.



If you now use the same render output setting (except fo the output path)
You can animate this and get your images saved in another folder.

How this works:

Blender opens up the file from the path you saved your animation in. You should be able to read it.

By adding a image sequence in the video editor it overlaps the current scene and does not render it. Your images get saved to a different folder.